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Finding the Fourth Proportional to 67.43, 100.43 and 66.43

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Solution

The fourth proportional to 67.43, 100.43 and 66.43 is: 98.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.43 : 100.43 = 66.43 : x
  2. Step 2: Convert to fraction form
    67.43/100.43 = 66.43/x
  3. Step 3: Cross multiply
    67.43x = 100.43 × 66.43
  4. Step 4: Simplify right side
    67.43x = 6,670.73
  5. Step 5: Solve for x
    x = 6,670.73/67.43
  6. Step 6: Final answer
    x = 98.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.